publication-results

A homoclinic solution for excitation waves on a contractile substratum

Date:

Saturday 21st January 2012

Author(s) :

Ambrosi, D; Arioli, G; Koch, H.

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Abstract:

We analyze a model of electric signalling in biological tissues
and prove that this model admits a travelling wave solution.
Our result is based on a new technique for computing rigorous bounds on the stable and unstable manifolds at an equilibrium point of a dynamical system depending on a parameter.